203111000400 has 960 divisors, whose sum is σ = 845360179200. Its totient is φ = 40449024000.

The previous prime is 203111000381. The next prime is 203111000447. The reversal of 203111000400 is 4000111302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 613628235 + ... + 613628565.

It is an arithmetic number, because the mean of its divisors is an integer number (880583520).

Almost surely, 2^203111000400 is an apocalyptic number.

203111000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203111000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422680089600).

203111000400 is an abundant number, since it is smaller than the sum of its proper divisors (642249178800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203111000400 is a wasteful number, since it uses less digits than its factorization.

203111000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 203111000400 its reverse (4000111302), we get a palindrome (207111111702).

The spelling of 203111000400 in words is "two hundred three billion, one hundred eleven million, four hundred", and thus it is an aban number.